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Share Repurchases (Narrative) (Details) - USD ($)
shares in Thousands, $ in Millions
3 Months Ended 6 Months Ended
Jan. 26, 2025
Jan. 28, 2024
Jan. 26, 2025
Jan. 28, 2024
Statement [Line Items]        
Treasury stock purchased, shares     1,134 707
Treasury Stock Value Acquired Cost Method $ 2 $ 1 $ 56 $ 29
September 2021 Program        
Statement [Line Items]        
Authorized amount for shares repurchase 500   500  
Share Repurchase Program, Remaining Authorized, Amount 301   301  
September 2024 Program        
Statement [Line Items]        
Authorized amount for shares repurchase 250   250  
Share Repurchase Program, Remaining Authorized, Amount 205   205  
June 2021 Program Canceled September 2024        
Statement [Line Items]        
Authorized amount for shares repurchase $ 250   $ 250